Answers
Answer: √300.89 or 17.3
Step-by-step explanation:
a^2 + b^2 = c^2
6.7^2 + b^2 = 16^2
b^2 = 16^2 - 6.7^2
= 256 - 44.89
b = √211.11 = 14.5
here to this question we have to use Pythagoras theorem that is
\( {a}^{2} + {b}^{2} = {hypotnuse}^{2} \)
here,
a=6.7
b=x (cuz' we don't know it's value)
c= hypotenuse =16
now, substitute these values in the above formula then we get,
\( {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529\)
as the answer should be given to 1 decimal place we get 14.529
Related Questions
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it!
Answers
The container that holds the water for the football team is 2/9 full. After pouring in 12 gallons of water, it is 2/3 full. How many gallons can the container hold?
Answers
27 Gallons
Explanation:
2/9 of the container is already full, 12 gallons are added. After the 12 gallons are added, 6/9 is full.
12g (gallons) = 4/9 so,
12g + 12g = 24g or 8/9
1/9 = 3g
12g + 12g + 3g = 27 Gallons!!
Draw a tape diagram to represent the problem.
In Mr. Dutton's class there are 4 boy for every 5 girl ?
Use the tape diagram above to answer the question.
If there are 16 males, how many females are in Mr. Dutton's class?
If there are 18 student in Mr. Sutton's class, how many boy are there? How many girl are there?
Answers
there are 20 girls in mr.duttons class
In mr.suttons class there are 10 girls 8 boys
An elevator starts at the lobby and makes 4 stops. The positive numbers stand for going up, and the negative numbers stand for going down. Which expression gives the total number of floors traveled during the 4 stops?
Answers
Answer:
the answer is the first one. im sorry if im wrong. good luck though
Step-by-step explanation:
Answer:Im pretty sure it is 4 becasue they are not going down.
Step-by-step explanation:
Help I'll give brainliest
An ice cream shop sells plush replicas ice cream cones with the dimensions shown. The ice cream cones are filled with a polyester fiber stuffing. Each bag of the fiber stuffing can be used to fill 720 cubic inches of volume. If the manager of the store orders 125 of the replica cones, how many bags to fill the cones?
(SHOW WORK)
Answers
Answer:
100 po
Step-by-step explanation:
Hope it help
sorry if i wrong
spread love❤️
HELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKK
Answers
Answer:
A
Step-by-step explanation:
Follow thw line to the segment
Answer:
A
Step-by-step explanation:
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
Dr. Fauci had .035 liters of Flu medicine. Each person will get the same amount of vaccine. One dose contains .005 liters. How many patients will get the medicine from Dr. Fauci?
Answers
Answer:
70 patients will get the medicine.
Step-by-step explanation:
What is the solution of the equation n+13=30 ?
Answers
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
Simplify -15- |-7.5|
Answers
Answer:
-22.5
Step-by-step explanation:
-15- |-7.5|
after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.
-15-7.5
=-22.5
The simplified expression -15 - |-7.5| is equal to -22.5.
To simplify the expression -15 - |-7.5|, we'll follow these steps:
Evaluate the absolute value: |-7.5|.
The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.
Substitute the absolute value into the expression:
-15 - 7.5.
Perform the subtraction:
-15 - 7.5 = -22.5.
Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ3
i need help with this question please help me
Answers
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
Please help i’ll give brainliest!
For which set of data are the median and mode the same number?
A. 4, 5, 7, 7, 8, 10
B. 3, 5, 6, 8, 8, 9
C. 5, 5, 6, 8, 9, 10
D. 4, 5, 7, 8, 9, 9
Answers
Answer: A
Step-by-step explanation:
median: 7+7=14
14/2=7✅
mode: 7 shows up the most (twice)
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Help ASAP (Math 7th Grade)
Answers
Answer: 453 toy boats an hour
Step-by-step explanation: Choice A
HELPPP ALGEBRAAAAAAA
Answers
Answer:
Diagram A
Step-by-step explanation:
shows both 10.4 and 2.6
*Urgent* im not sure look at the picture
Answers
Answer:
B) x^2-64
Step-by-step explanation:
Step by step explaining :
Help plz plz plz plz plz plz plz plz plz plz plz plz plz
Which of the following uses the distributive property correctly?
9(m – 2) = 9(m) – 9(2)
9(m – 2) = 9(m) – 2
9(m – 2) = 9 – 9(2)
9(m – 2) = 9(m) + 9(2)
Answers
Answer:
option a
Step-by-step explanation:
9(m-2) = 9(m)-9(2) okok
step-by-step-explanation
Please help and you get a cake
Answers
Answer:
Mean = 33.7
Median = 34.5
Mode = 34
Range = 33
After adding 26....
mean decreases by 0.7
median decreases by 0.5
mode is 34
range is 33
Step-by-step explanation:
mean = sum of all the data values/number of data values
= (18 + 19 + 20 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7
To find median arrange the values in increasing order, find the mid value
If the number of data points is even, find the average of the mid 2 data values
Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51
Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5
The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once
Mode = 34
The range is highest - lowest = 51 - 18 = 33
After we add 26, we get the following data set arranged
18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51
we can calculate the stats using the same technique as above
We get the following values
mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33
median = 34
mode = 34
range = 51-18 = 33
To find the decrease in mean and median subtract from the first set of values
5, minus, start fraction, t, divided by, 3, end fraction when t=12
Answers
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow Final \:\:Value = 1\: \)
____________________________________
\( \large \tt Solution \: : \)
The statement can be represented as :
\(\qquad \tt \rightarrow \: 5 - \dfrac{t}{3} \)
[ for t = 12 ]
\(\qquad \tt \rightarrow \: 5 - \dfrac{12}{3} \)
\(\qquad \tt \rightarrow \: 5 - 4\)
\(\qquad \tt \rightarrow \: 1\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Select all of the terms that apply to the shape. // 50 points :) // ANSWER ASAP PLEASE!!
Answers
Answer:
Ok
Step-by-step explanation:
hexagon
regular polygon
Pentagon
Answer:
hexagon
Pentagon
Step-by-step explanation: :/
What is another way of expressing 8 x 12?
Answers
Thank me later...
Answer:
2 times 48
Step-by-step explanation:
can someone simplify 423/16 for me
(show work)
Answers
Step-by-step explanation:
1. Find the GCD (or HCF) of numerator and denominator
GCD of 423 and 16 is 1.
2. Divide both the numerator and denominator by the GCD
423 ÷ 1= 323
16 ÷ 1=16
3. Reduced fraction:
423
16
Therefore, 423/16 simplified to lowest terms is 423/16.
Answer: 423/16
Step-by-step explanation:
To be able to simplify 423/16, we need to find their greatest common factor (GCF). This is much easier to do using the smaller number, as it has less factors most of the time.
The factors of 16 are: 1, 2, 4, 8, 16.
If 423 shares one of these factors, we can simplify 423/16.
Since 2, 4, 8, and 16 are even numbers and 423 is odd, we already know that those are not factors of 423.
So, the only factor of 16 left that 423 shares is 1. If you divide 423/1 and 16/1, the fraction still is 423/16. This means that 423/16 is already in its simplest form.
If you want to find the decimal form of 423/16, it is 26.4375. 16 x 26 = 416. 416 + 16 = 432, which is greater than 423.
This means that 16 goes into 423 twenty-six times before it cannot fully go into it anymore.
please helppp find c
Answers
Answer:
76°
Step-by-step explanation:
Use the Exterior Angle Property. The Exterior Angle Property states that an exterior angle of a triangle is equal to the sum of it's two opposite non adjacent interior angles.
In this case, set the exterior angle equal to the sum of the two given interior angle measurements:
(c) + (c - 26) = c + 50
First, simplify, combine like terms. Like terms are terms that share the same amount of the same variable:
c + c - 26 = c + 50
(2c) - 26 = c + 50
Next, isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Subtract c and add 26 to both sides of the equation:
2c (-c) - 26 (+26) = c (-c) + 50 (+26)
2c - c = 50 + 26
c = 76
76° is your answer.
~
Learn more about the Exterior Angle Theorem, here:
https://brainly.com/question/956912
Answer:
c = 76 degrees
Step-by-step explanation:
Identify the equivalent expression for m^1/3 x m^1/5
Answers
Answer:
m^1/15 is the answer
Step-by-step explanation:
Victoria has 21 seashells Kim has twice as many Seashells as Victoria how many seashells does Kim have
Answers
Answer:
42
Step-by-step explanation:
21x21 there you go marke me as brilliant
Pls do the second one due today
Answers
Answer:
36
Step-by-step explanation:
the hole is the area
to find the area you do base x height
HELP PLEASE!!!!
You select a marble without looking and then put it back. If you do this 45 times, what is the best prediction possible for the number of times you will pick a purple marble?
NO WRONG ANSWERS PLEASEE
Answers
Answer:
9 times
Step-by-step explanation:
If there are 4 pink marbles and 1 purple marble, the probability of picking the purple marble on any individual trial is 1/5 (since there is one purple marble out of a total of five marbles).
Therefore, the best prediction for the number of times you will pick a purple marble in 45 trials would be:
E = (1/5) × 45 = 9
So, the best prediction is that you will pick a purple marble approximately 9 times out of the 45 trials.
Answer:9
Step-by-step explanation:
(1/5)*45=9
Which of the following inequalities is correct?
Answers
Answer:
Step-by-step explanation:
it is option C because a positive number will always be bigger then a negative number